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Finding the Fourth Proportional to 3,446.13, 4,756.74 and 2,204.13

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Solution

The fourth proportional to 3,446.13, 4,756.74 and 2,204.13 is: 3,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.13 : 4,756.74 = 2,204.13 : x
  2. Step 2: Convert to fraction form
    3,446.13/4,756.74 = 2,204.13/x
  3. Step 3: Cross multiply
    3,446.13x = 4,756.74 × 2,204.13
  4. Step 4: Simplify right side
    3,446.13x = 10,484,473.34
  5. Step 5: Solve for x
    x = 10,484,473.34/3,446.13
  6. Step 6: Final answer
    x = 3,042.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.